The Painlevé Property and Hirota's Method
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John Gibbon | J. Gibbon | P. Radmore | P. Radmore | M. Tabor | D. Wood | M. Tabor | D. Wood
[1] M. Crum. ASSOCIATED STURM-LIOUVILLE SYSTEMS , 1999, physics/9908019.
[2] Sophie Kowalevski,et al. Sur le probleme de la rotation d'un corps solide autour d'un point fixe , 1889 .
[3] C. Newman. Inequalities for Ising models and field theories which obey the Lee-Yang Theorem , 1975 .
[4] J. Weiss. THE PAINLEVE PROPERTY FOR PARTIAL DIFFERENTIAL EQUATIONS. II. BACKLUND TRANSFORMATION, LAX PAIRS, AND THE SCHWARZIAN DERIVATIVE , 1983 .
[5] Hugo D. Wahlquist,et al. Backlund transformation for solutions of the Korteweg-de Vries equation , 1973 .
[6] M. Ablowitz,et al. Nonlinear evolution equations and ordinary differential equations of painlevè type , 1978 .
[7] V. Zakharov,et al. Korteweg-de Vries equation: A completely integrable Hamiltonian system , 1971 .
[8] J. Gibbon,et al. A modified regularized long-wave equation with an exact two-soliton solution , 1976 .
[9] Ryogo Hirota,et al. Exact Solution of the Sine-Gordon Equation for Multiple Collisions of Solitons , 1972 .
[10] Junkichi Satsuma,et al. N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation , 1976 .
[11] D. J. Benney. Some Properties of Long Nonlinear Waves , 1973 .
[12] Ryogo Hirota,et al. Exact Solution of the Modified Korteweg-de Vries Equation for Multiple Collisions of Solitons , 1972 .
[13] Jürgen Moser,et al. On a class of polynomials connected with the Korteweg-deVries equation , 1978 .
[14] F. Vivaldi,et al. Integrable Hamiltonian Systems and the Painleve Property , 1982 .
[15] G. Wilson,et al. The affine lie algebra C(1)2 and an equation of Hirota and Satsuma , 1982 .
[16] M. Tabor,et al. The Painlevé property for partial differential equations , 1983 .
[17] H. McKean,et al. Rational and elliptic solutions of the korteweg‐de vries equation and a related many‐body problem , 1977 .
[18] P. Olver,et al. The Connection between Partial Differential Equations Soluble by Inverse Scattering and Ordinary Differential Equations of Painlevé Type , 1983 .
[19] J. C. Eilbeck,et al. Exact Multisoliton Solutions of the Self-Induced Transparency and Sine-Gordon Equations , 1973 .
[20] D. V. Choodnovsky,et al. Pole expansions of nonlinear partial differential equations , 1977 .
[21] M. Ablowitz,et al. A connection between nonlinear evolution equations and ordinary differential equations of P‐type. II , 1980 .
[22] M. Tabor,et al. Painlevé property and multicomponent isospectral deformation equations , 1983 .
[23] Mark J. Ablowitz,et al. Exact Linearization of a Painlevé Transcendent , 1977 .
[24] J. Weiss,et al. The sine‐Gordon equations: Complete and partial integrability , 1984 .
[25] Ryogo Hirota,et al. Exact N‐soliton solutions of the wave equation of long waves in shallow‐water and in nonlinear lattices , 1973 .
[26] R. Hirota. Exact solution of the Korteweg-deVries equation for multiple collision of solitons , 1971 .
[27] R. Hirota,et al. Theoretical and experimental studies of lattice solitons in nonlinear lumped networks , 1973 .
[28] J. Satsuma. Solitons and Rational Solutions of Nonlinear Evolution Equations (Theory of Nonlinear Waves) , 1978 .
[29] M. Tabor,et al. Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes , 1982 .
[30] R. Hirota,et al. N-Soliton Solutions of Model Equations for Shallow Water Waves , 1976 .
[31] R. Hirota,et al. Soliton solutions of a coupled Korteweg-de Vries equation , 1981 .
[32] Allan P. Fordy,et al. On the integrability of a system of coupled KdV equations , 1982 .
[33] M. Ablowitz,et al. Nonlinear-evolution equations of physical significance , 1973 .
[34] Ryogo Hirota,et al. A New Form of Bäcklund Transformations and Its Relation to the Inverse Scattering Problem , 1974 .
[35] C. S. Gardner,et al. Method for solving the Korteweg-deVries equation , 1967 .